Without VAT too little money for the car – but also with?

Hello, my car has been stolen and estimated by expert opinion at 6550 euros. The insurance deducts 1045,80 euros from this. On the report is also clearly “with VAT”, of therefore ok. If I have understood this correctly, then I only get the 1045 euros if I find a dealer who will show me the VAT at the next car. Too bad, however, that these dealers then always want to have 2000 euros more for a car that is comparable to my car. Or In other words: I can buy my new car by private – and get satisfied with 5500 euros or I go to the dealer and make sure to have the VAT shown – but then I have to see that I find my car for 6550 euros. Now I find my car at Mobile.de – is not an exotic (Passat TDI Kombi, EZ 03/02 with 181T km) – and no one is 5500 euros cheap and with the dealer the car costs more than 8000 euros. Is Schwacke (which is based on the report) really so cheap? I don’t think it’s fair.